MAT 1302 Midterm: MAT1302 University of Ottawa Exam f04
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The rst 4 are short-answer, and have multiple parts. The last 8 are long-answer, and partial credit may be earned. Please be careful to include all details, and explain what you are doing: you have 180 minutes. The exam is out of 100 points: no books or notes allowed. Only simple calculators are permitted; none with graphing or matrix capabilities: if you do not have enough space, use the back of the pages and clearly indicate this. 1: (8 points) suppose a is a 5 7 matrix and that the dimension of the null space of a is 2. Problem (a) (b) (c) (d) (e) (f ) (g) (h) your answer. 2: (6 points) suppose a is a 6 6 invertible matrix. Problem (a) (b) (c) (d) (e) (f ) your answer. 3: (8 points) answer each of the following short-answer questions in the table provided.